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Pré-Publication, Document De Travail Année : 2015

Spectral Stability of Unitary Network Models

Résumé

We review various unitary network models used in quantum computing, spectral analysis or condensed matter physics and establish relationships between them. We show that symmetric one dimensional quantum walks are universal, as are CMV matrices. We prove spectral stability and propagation properties for general asymptotically uniform models by means of unitary Mourre theory.
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hal-01182809 , version 1 (21-05-2024)

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Joachim Asch, Olivier Bourget, Alain Joye. Spectral Stability of Unitary Network Models. 2015. ⟨hal-01182809⟩
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